// The shortest distance of point to plane.
public double DistanceTo(PointAdaptor point)
{
Debug.Assert(point != null);
double distance = Normal.Dot(point - Point);
return distance;
}
// The shortest distance of point to line.
public double DistanceTo(PointAdaptor pointProxy)
{
Debug.Assert(pointProxy != null);
PointAdaptor pointOnLine = ClosestPointTo(pointProxy);
double distance = pointOnLine.DistanceTo(pointProxy);
return distance;
}
public PointAdaptor ClosestPointTo(PointAdaptor pointProxy)
{
if (null == pointProxy) return null;
PlaneAdaptor Plane = GetPerpendicularPlane(pointProxy);
if (null == Plane) return null;
PointAdaptor Intersect = GetIntersection(Plane);
return Intersect;
}
public bool Contains(PointAdaptor point)
{
if (null == point) return false;
PointAdaptor PointOnLine = BasePoint + Direction.VectorAdaptor;
VectorAdaptor P2S = MathAdaptorFactory.Instance.CreateVectorAdaptor(point, PointOnLine);
VectorAdaptor P2E = MathAdaptorFactory.Instance.CreateVectorAdaptor(point, BasePoint);
return P2S.IsParallelTo(P2E);
}
public bool Contains(PointAdaptor point)
{
if (null == point) return false;
// Ax + By + Cz = D;
double ret = Normal.X * point.X
+ Normal.Y * point.Y
+ Normal.Z * point.Z;
return MathUtil.IsTwoDoubleEqual(ret, ConstNumber);
}
public virtual Matrix44Adaptor SetRotate(UnitVectorAdaptor fromDirection
, UnitVectorAdaptor toDirection, PointAdaptor basePoint)
{
Debug.Assert(fromDirection != null && toDirection != null
&& basePoint != null);
if (!(fromDirection != null && toDirection != null
&& basePoint != null)) return this;
double angle = fromDirection.AngleTo(toDirection);
VectorAdaptor axis = fromDirection.VectorAdaptor.Cross(toDirection.VectorAdaptor);
SetRotate(angle, axis.UnitVectorAdaptor, basePoint);
return this;
}
public PlaneAdaptor GetPerpendicularPlane(PointAdaptor pointProxy)
{
if (null == pointProxy)
pointProxy = BasePoint;
PlaneAdaptor Plane = MathAdaptorFactory.Instance.CreatePlaneAdaptor(pointProxy, Direction);
return Plane;
}
protected override PointAdaptor OperatorMultiply(Matrix44Adaptor trans, PointAdaptor point)
{
Debug.Assert(point != null && trans != null);
if (null == point || null == trans) return null;
double[,] data = new double[4, 1];
data[0, 0] = point.X;
data[1, 0] = point.Y;
data[2, 0] = point.Z;
data[3, 0] = 1;
NativeMatrix44Adaptor nativeTrans = trans as NativeMatrix44Adaptor;
NativeMatrix2dAdaptor pointMatrix = new NativeMatrix2dAdaptor(data);
NativeMatrix2dAdaptor resulr = nativeTrans.GetNativeMatrix2dProxy() * pointMatrix;
resulr = resulr / resulr[3, 0];
return new NativePointAdaptor(resulr[0, 0], resulr[1, 0], resulr[2, 0]);
}
// Scale
public override Matrix44Adaptor SetScaling(double allScale, PointAdaptor basePoint)
{
Debug.Assert(allScale > 0 && basePoint != null);
if (!(allScale > 0 && basePoint != null)) return this;
PointAdaptor origin = new NativePointAdaptor(0,0,0);
if (basePoint.IsEqualTo(origin))
{
SetScaling(allScale);
}
else
{
// Transform the origin to the base point.
NativeMatrix44Adaptor T = NativeMatrix44Adaptor.Identity;
T.SetTranslation(origin - basePoint);
// zoom
NativeMatrix44Adaptor S = NativeMatrix44Adaptor.Identity;
S.SetScaling(allScale);
// Recover the coordinate of the base point
NativeMatrix44Adaptor T_1 = T.Inverse as NativeMatrix44Adaptor;
NativeMatrix44Adaptor R = (T_1 * S * T) as NativeMatrix44Adaptor;
m_Matrix2d = new NativeMatrix2dAdaptor(R.m_Matrix2d);
}
return this;
}
// Rotate the angle is radian
public override Matrix44Adaptor SetRotate(double AngleThita, UnitVectorAdaptor axis, PointAdaptor basePoint)
{
Debug.Assert(false, "NO IMP");
return null;
}
public override double DistanceTo(PointAdaptor pointProxy)
{
Debug.Assert(false, "NO IMP");
return 0;
}
public override PointAdaptor ClosestPointTo(PointAdaptor point)
{
Debug.Assert(false, "NO IMP");
return null;
}
public GePoint()
{
m_Proxy = MathAdaptorFactory.Instance.CreatePointAdaptor(0, 0, 0);
}
protected abstract PointAdaptor OperatorMultiply(Matrix44Adaptor trans, PointAdaptor point);
// Scale public abstract Matrix44Adaptor SetScaling(double allScale, PointAdaptor basePoint);
// Rotate the angle is radian public abstract Matrix44Adaptor SetRotate(double AngleThita, UnitVectorAdaptor axis, PointAdaptor basePoint);
public override bool IsEqualTo(PointAdaptor pointProxy)
{
Debug.Assert(false, "NO IMP");
return false;
}
public abstract bool IsEqualTo(PointAdaptor pointProxy);
public GePoint(double xx, double yy, double zz)
{
m_Proxy = MathAdaptorFactory.Instance.CreatePointAdaptor(xx, yy, zz);
}
// Scale
public override Matrix44Adaptor SetScaling(double allScale, PointAdaptor basePoint)
{
Debug.Assert(false, "NO IMP");
return null;
}
public abstract double DistanceTo(PointAdaptor pointProxy);
public GePoint(GePoint src)
{
m_Proxy = MathAdaptorFactory.Instance.CreatePointAdaptor(
src.X, src.Y, src.Z);
}
public abstract PointAdaptor ClosestPointTo(PointAdaptor point);
public GePoint(PointAdaptor proxy)
{
m_Proxy = proxy;
}
// Rotate the angle is radian
public override Matrix44Adaptor SetRotate(double AngleThita, UnitVectorAdaptor axis, PointAdaptor basePoint)
{
Debug.Assert(axis != null && basePoint != null);
if (!(axis != null && basePoint != null)) return this;
UnitizeSubmatrixA();
// Translation the origin to base point
NativeMatrix44Adaptor TA = NativeMatrix44Adaptor.Identity;
NativePointAdaptor origin = new NativePointAdaptor(0, 0, 0);
TA.SetTranslation(origin - basePoint);
// Rotate the axis by X'-axis to X'-Z' plane
double CosAlpha = 0;
double SinAlpha = 0;
double v = System.Math.Sqrt(axis.Y * axis.Y
+ axis.Z * axis.Z);
if (MathUtil.IsTwoDoubleEqual(v, 0))
{
// The axis is parallel to X-axis
CosAlpha = 1;
SinAlpha = 0;
}
else
{
CosAlpha = axis.Z / v;
SinAlpha = axis.Y / v;
}
NativeMatrix44Adaptor Rx = NativeMatrix44Adaptor.Identity;
Rx[1, 1] = CosAlpha;
Rx[1, 2] = -SinAlpha;
Rx[2, 1] = SinAlpha;
Rx[2, 2] = CosAlpha;
// Rotate the axis by Y'-axis to Z'-axis
double u = axis.Length();
double CosBeta = v / u;
double SinBeta = -axis.X / u;
NativeMatrix44Adaptor Ry = NativeMatrix44Adaptor.Identity;
Ry[0, 0] = CosBeta;
Ry[0, 2] = SinBeta;
Ry[2, 0] = -SinBeta;
Ry[2, 2] = CosBeta;
// Rotate by Z'
double CosThita = System.Math.Cos(AngleThita);
double SinThita = System.Math.Sin(AngleThita);
NativeMatrix44Adaptor Rz = NativeMatrix44Adaptor.Identity;
Rz[0, 0] = CosThita;
Rz[0, 1] = -SinThita;
Rz[1, 0] = SinThita;
Rz[1, 1] = CosThita;
// Get the inverse matrix of the above step
NativeMatrix44Adaptor Ry_1 = Ry.Inverse as NativeMatrix44Adaptor;
NativeMatrix44Adaptor Rx_1 = Rx.Inverse as NativeMatrix44Adaptor;
NativeMatrix44Adaptor TA_1 = TA.Inverse as NativeMatrix44Adaptor;
// The transform result
Matrix44Adaptor R = TA_1 * Rx_1 * Ry_1 * Rz * Ry * Rx * TA;
// Save the result
for (int row = 0; row < 3; row++)
for (int column = 0; column < 3; column++)
m_Matrix2d[row, column] = R[row, column];
return this;
}
protected override PointAdaptor OperatorMultiply(Matrix44Adaptor trans, PointAdaptor point)
{
Debug.Assert(false, "NO IMP");
return null;
}